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Finding the Third Proportional to 677,991 and 919,756

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Solution

The third proportional to 677,991 and 919,756 is: 1,247,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,991 : 919,756 = 919,756 : x
  2. Step 2: Convert to fraction form
    677,991/919,756 = 919,756/x
  3. Step 3: Cross multiply
    677,991x = 919,756 × 919,756
  4. Step 4: Simplify right side
    677,991x = 845,951,099,536
  5. Step 5: Solve for x
    x = 845,951,099,536/677,991
  6. Step 6: Final answer
    x = 1,247,732.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.